2007 paul dawkins 193

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Unformatted text preview: ] æfö ÷ ( 0) ègø (d) ç In this final part we’ve got a number so we’ll once again be doing function evaluation. f ( 0) æfö ç ÷ (0) = g ( 0) ègø 2 + 3 ( 0) - ( 0) = 2 ( 0) -1 2 2 -1 = -2 = [Return to Problems] Now we need to discuss the new method of combining functions. The new method of combining functions is called function composition. Here is the definition. Given two functions f ( x ) and g ( x ) we have the following two definitions. 1. The composition of f ( x ) and g ( x ) (note the order here) is, ( f o g )( x) = f é g ( x )ù ë û 2. The composition of g ( x ) and f ( x ) (again, note the order) is, ( g o f ) ( x ) = g é f ( x )ù ë û © 2007 Paul Dawkins 191 http://tutorial.math.lamar.edu/terms.aspx College Algebra We need to note a couple of things here about function composition. First this is NOT multiplication. Regardless of what the notation may suggest to you this is simply not multiplication. Second, the order we’ve listed the two functions is very important since more often than not we will get dif...
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